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Question

# 5 moles of oxygen are heated at constant volume from 10 ∘C to 20 ∘C. What will be the change in the internal energy of gas? (The molar heat of oxygen at constant pressure, Cp=7.03 cal mol−1 K−1 and R=8.31 J mol−1K−1)

A
352 cal
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B
252 cal
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C
152 cal
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D
452 cal
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Solution

## The correct option is B 252 calGiven, R=8.31 J mol−1K−1 =8.314.18 cal mol−1K−1 =1.99 cal mol−1K−1 We know that, Cp−Cv=R ⇒Cv=Cp−R =7.03−1.99 =5.04 cal mol−1 Heat absorbed by 5 mole of oxygen in heating from 10 ∘C to 20 ∘C =5×Cv×△T=5×5.04×10=252 cal Since, the gas is heated at constant volume, no external work i.e. change in internal energy wll be equal to heat absorbed, △E=q+w=252+0=252 cal

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